Intro
Preface
Research and Application on Dynamic Equivalent Inverse Problem of Acoustic Metamaterials
Contents
1 Introduction
1.1 Research Background and Significance
1.1.1 The Harmful Effects of Vibrations and Noise
1.1.2 Vibration and Noise Control Methods
1.2 Review of Phononic Crystals and Acoustic Metamaterials
1.2.1 The History of Development of Phononic Crystals and Acoustic Metamaterials
1.2.2 Equivalence Theory of Phononic Crystals and Acoustic Metamaterials
1.2.3 Recent Development Trend of Phononic Crystals and Acoustic Metamaterials

1.3 A Brief Introduction into the Research Done in this Work
1.3.1 Research Contents
1.3.2 Book Structure Organization
References
2 Basic Theories of Acoustic Metamaterials for Solving the Dynamic Equivalent Inverse Problem
2.1 Introduction
2.2 Basic Theories of Acoustic Metamaterials
2.2.1 Wave Equations in Elastic Media
2.2.2 Lattice Theory of Photonic Crystals
2.2.3 Bloch's Theorem and Brillouin Zones
2.3 A Theory of Dynamic Equivalence for Solving the Inverse Problems of Acoustic Metamaterials

2.3.1 Methods of Calculating the Dispersion Relation and Energy Band Relation of Acoustic Metamaterials
2.3.2 Theoretical Model of Dynamic Equivalence for Solving the Inverse Problems of Acoustic Metamaterials
2.3.3 Theoretical Model for Solving the Inverse Problems of Acoustic-Electric Analogical Equivalence
2.4 Chapter Summary
References
3 Theoretical Model for Solving the Inverse-Problem of Dynamic Equivalent Media of Periodic Rod-Beam Structures
3.1 Introduction
3.2 Periodic Rod-Beam Structures
3.2.1 Calculation Model of Periodic Rod-Beam Structure

3.2.2 Dispersion Relation and Energy Band Relation of the Periodic Rod-Beam Structure
3.2.3 Vibration Mode Analysis for the Periodic Rod-Beam Structure
3.3 Theoretical Model for Solving the Inverse Problems of Dynamic Equivalent Media of Periodic Rod-Beam Structures
3.3.1 Wave Equations of Beam Structures
3.3.2 Calculation of Dynamic Equivalent Material Parameters of Periodic Beam Structures
3.3.3 Verification of Dynamic Equivalent Material Parameters of the Periodic Beam Structure

3.4 Theoretical Model for Solving the Inverse Problems of Dynamic Equivalent Media of Periodic Rods
3.4.1 The Wave Equation of a Rod
3.4.2 Calculation of Dynamic Equivalent Material Parameters of Periodic Rods
3.4.3 Verification by Dynamic Equivalent Material Parameters of Periodic Rod Structures
3.5 Chapter Summary
References
4 Theoretical Model for Solving the Inverse Problems of Dynamic Equivalent Media of Periodic Plate Structures
4.1 Introduction
4.2 Periodic Plate Structure with Circular Holes
4.2.1 A Model of Periodic Plate Structure with Circular Holes